GCD of 505, 235, 43, 775 Calculator

Given Input numbers are 505, 235, 43, 775

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 505, 235, 43, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 235, 43, 775 is 1.

Therefore, GCD of numbers 505, 235, 43, 775 is 1

Given Input Data is 505, 235, 43, 775

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 505 is 5 x 101

Prime Factorization of 235 is 5 x 47

Prime Factorization of 43 is 43

Prime Factorization of 775 is 5 x 5 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(505, 235) = 23735

GCD(505, 235) = ( 505 x 235 ) / 23735

GCD(505, 235) = 118675 / 23735

GCD(505, 235) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 43

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 43) = 215

GCD(5, 43) = ( 5 x 43 ) / 215

GCD(5, 43) = 215 / 215

GCD(5, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 505, 235, 43, 775 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 961, 15, 313
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• GCD of 709, 249, 61, 915
• GCD of 542, 718, 38, 823
• GCD of 385, 720, 21, 926

1. What is the GCD of 505, 235, 43, 775?

GCD of 505, 235, 43, 775 is 1

2. Where do I get the detailed procedure to find GCD of 505, 235, 43, 775?

You can find a detailed procedure to find GCD of 505, 235, 43, 775 on our page.

3. How to find GCD of 505, 235, 43, 775 on a calculator?

You can find the GCD of 505, 235, 43, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.